The internet is not limited to TCP/IP many phones browsers used a different protocol to connect to a proxy server which downgraded images to save bandwidth.
A similar approach means a website might take a 4+ minutes to start downloading but would finish in under a second and allow for video streaming etc.
Sure not all websites would work, but you could easily use Reddit, YouTube, and email.
I'm not so sure about YouTube. It's a huge distance, and the potential for data loss somewhere in the middle is pretty large and video consumes a lot of bandwidth. E-mail might be doable, but for reddit you would need A LOT of patience since it's going to take ages to load the cat picture you just clicked on.
YouTube for a few people is fairly low bandwidth data, so they can probably just send several copies of the same stream preferably after re encoding it. Unless the packet loss is extreme it's not going to be an issue.
For Reddit, I would assume they would start downloading before you click on something. It eat's bandwidth, but again bandwidth is a non issue it's really just latency.
A similar approach means a website might take a 4+ minutes to start downloading but would finish in under a second and allow for video streaming etc.
Sure not all websites would work, but you could easily use Reddit, YouTube, and email.